We discuss the scaling of the Yang-Lee singularity (YLs) and show how the universal scaling can be used to locate phase transitions in QCD. We describe two complementary methods to extract the location of the Yang-Lee singularity from lattice QCD data of the baryon-number density and higher order cumulants of the baryon number, obtained at imaginary chemical potential. The first method (multi-point Pade resummation) is used to determine the Roberge-Weiss phase transition temperature. Our continuum extrapolated result is TRW=211.1±3.1 MeV. The second method is based on the asymptotic behaviour of the Fourier coefficients of the baryon-number density. We discuss the derivation of a fitting function and demonstrate that the procedure can successfully locate the YLs in the Quark Meson model.
Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD / Schmidt, C.; Clarke, D. A.; Dimopoulos, P.; Di Renzo, F.; Goswami, J.; Singh, S.; Skokov, V. V.; Zambello, K.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - 453:(2024). (Intervento presentato al convegno 40th International Symposium on Lattice Field Theory, LATTICE 202 tenutosi a Batavia IL - USA nel 31 July 2023 through 4 August 2023) [10.22323/1.453.0167].
Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD
Dimopoulos P.;Di Renzo F.;Zambello K.
2024-01-01
Abstract
We discuss the scaling of the Yang-Lee singularity (YLs) and show how the universal scaling can be used to locate phase transitions in QCD. We describe two complementary methods to extract the location of the Yang-Lee singularity from lattice QCD data of the baryon-number density and higher order cumulants of the baryon number, obtained at imaginary chemical potential. The first method (multi-point Pade resummation) is used to determine the Roberge-Weiss phase transition temperature. Our continuum extrapolated result is TRW=211.1±3.1 MeV. The second method is based on the asymptotic behaviour of the Fourier coefficients of the baryon-number density. We discuss the derivation of a fitting function and demonstrate that the procedure can successfully locate the YLs in the Quark Meson model.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
